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Austrian MO National Competition
2006 Federal Competition For Advanced Students, Part 1
3
3
Part of
2006 Federal Competition For Advanced Students, Part 1
Problems
(1)
37th Austrian Mathematical Olympiad 2006
Source: round 2, problem 3
2/10/2009
In the triangle
A
B
C
ABC
A
BC
let
D
D
D
and
E
E
E
be the boundary points of the incircle with the sides
B
C
BC
BC
and
A
C
AC
A
C
. Show that if AD\equal{}BE holds, then the triangle is isoceles.
geometry
geometry unsolved